GCF of 2378/906, 6917/9017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2378/906, 6917/9017 i.e 1/8169402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2378/906, 6917/9017.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2378/906,6917/9017?
Given fractions are 2378/906,6917/9017
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2378/906,6917/9017, numerators are 2378,6917
Denominators are 906,9017
The GCF of 2378,6917 is 1 .
LCM of 906,9017 is 8169402.
The greatest common factor of 2378/906,6917/9017 = [GCF of 2378,6917]/[LCM of 906,9017]= 1/8169402
Therefore, the GCF of 2378/906,6917/9017 is 1/8169402.
To find the highest common factor of 2378,6917, we have to find the factors of both numbers and list the highest common factor.
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The factors of 6917 are 1, 6917
The HCF of 2378,6917 is 1.
Lets's calculate GCF of 2378,6917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2378,6917 By Matching Biggest Common Factor Method
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Now, list down the factors of 6917
:1,6917
Greatest Common Factor
We found the factors 2378,6917 . The biggest common factor number is the GCF number.
So the greatest common factor 2378,6917 is 1.
Lets's calculate LCM of 906,9017
Given numbers has no common factors except 1. So, there LCM is their product i.e 8169402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8169402
Therefore, the GCF of Fractions 2378/906,6917/9017 is 1/8169402
Least Common Multiple of 906,9017 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 906,9017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,9017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(906,9017) x common factors =1 x 1 = 1
LCM(906,9017) = ( 906 × 9017 ) / 1
LCM(906,9017) = 8169402 / 1
LCM(906,9017) = 8169402
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2378/906, 6917/9017
1. What is the HCF of 2378,6917?
The HCF of 2378,6917 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2378/906, 6917/9017?
Answer: GCF of Numerators as per given numbers 2378/906, 6917/9017 is
GCF of Numerators i.e. for 2378,6917 is 1
LCM of denominators i.e. for 906,9017 is 8169402.
Thus, GCF of Fractions is 1/8169402.Finally, GCF of Fractions for 2378/906, 6917/9017 is 1/8169402.